What is the average of odd numbers from 18 to 147? Here we will show you how to calculate the average of odd numbers from 18 to 147.
To find the average of the odd numbers from 18 to 147, we first calculate how many odd numbers there are from 18 to 147. Then, we calculate the sum of odd numbers from 18 to 147. And finally, we divide the sum by the number of odd numbers to get the average.
The range is from 18 to 147, and the odd numbers within that range are from 19 to 147. Therefore, the first odd number in the sequence is 19, and the last odd number in the sequence is 147.
Step 1) Calculate the total number of odd numbers from 18 to 147
Here we calculate the total number of odd numbers from 18 to 147 by entering the first and last odd number in the sequence into our formula. Here is the formula and the math:
tot = (last - first + 2) ÷ 2
tot = (147 - 19 + 2) ÷ 2
tot = 130 ÷ 2
tot = 65
Total odd numbers from 18 to 147 = 65
Step 2) Calculate the sum of odd numbers from 18 to 147
To calculate the sum of odd numbers from 18 to 147, you enter the total odd numbers (tot) from Step 1 and the first odd number in the sequence into our formula. Here is the formula and the math:
sum = (tot ÷ 2) × (2 × first + (2 × (tot - 1))
sum = (65 ÷ 2) × (2 × 19 + (2 × (65 - 1))
sum = 32.5 × (38 + 128)
sum = 32.5 × 166
sum = 5395
Sum of odd numbers from 18 to 147 = 5395
Step 3) Calculate the average of odd numbers from 18 to 147
Almost done! Now we can calculate the average of odd numbers from 18 to 147 by dividing the sum of odd numbers from Step 2 by the total odd numbers from Step 1. Here is the formula, the math, and the answer:
Average = sum ÷ tot
Average = 5395 ÷ 65
Average = 83
Average of odd numbers from 18 to 147 = 83
Average of Odd Numbers Calculator
Here you can calculate the average of odd numbers of a different sequence.